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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1979, Volume 19, Number 3, Pages 768–774 (Mi zvmmf5399)  

This article is cited in 3 scientific papers (total in 4 papers)

Scientific communications

An inverse problem of heat conductivity

V. B. Glasko, N. I. Kulik, I. N. Shklyarov, A. N. Tikhonov

Moskva
Full-text PDF (830 kB) Citations (4)
Abstract: An approximate mathematical model for the process of high-frequency induction heating of cylindrical steel specimens is presented. The problem of determining the density of the heat sources and the temperature of the field within the specimen is solved by the regularization concept with additional information about the temperature on the surface of the specimen. The dependence of the thickness of the hardened layer on the parameters of the hardening process is studied.
Received: 31.10.1978
English version:
USSR Computational Mathematics and Mathematical Physics, 1979, Volume 19, Issue 3, Pages 223–230
DOI: https://doi.org/10.1016/0041-5553(79)90143-5
Bibliographic databases:
Document Type: Article
UDC: 517.958, 536.2
MSC: Primary 35K05; Secondary 35R30, 65M06, 65M99, 65N99
Language: Russian
Citation: V. B. Glasko, N. I. Kulik, I. N. Shklyarov, A. N. Tikhonov, “An inverse problem of heat conductivity”, Zh. Vychisl. Mat. Mat. Fiz., 19:3 (1979), 768–774; U.S.S.R. Comput. Math. Math. Phys., 19:3 (1979), 223–230
Citation in format AMSBIB
\Bibitem{GlaKulShk79}
\by V.~B.~Glasko, N.~I.~Kulik, I.~N.~Shklyarov, A.~N.~Tikhonov
\paper An~inverse problem of heat conductivity
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1979
\vol 19
\issue 3
\pages 768--774
\mathnet{http://mi.mathnet.ru/zvmmf5399}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=538945}
\zmath{https://zbmath.org/?q=an:0408.35046}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1979
\vol 19
\issue 3
\pages 223--230
\crossref{https://doi.org/10.1016/0041-5553(79)90143-5}
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  • https://www.mathnet.ru/eng/zvmmf/v19/i3/p768
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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